TSTP Solution File: SWW474+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:18:04 EDT 2023
% Result : Theorem 0.52s 0.71s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 240
% Syntax : Number of formulae : 287 ( 42 unt; 224 typ; 0 def)
% Number of atoms : 101 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 31 ~; 30 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 299 ( 179 >; 120 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 219 ( 219 usr; 45 con; 0-3 aty)
% Number of variables : 63 ( 7 sgn; 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
is_fun_pname_bool: $i > $o ).
tff(decl_23,type,
cOMBB_647938656_pname: ( $i * $i ) > $i ).
tff(decl_24,type,
is_fun1661590463l_bool: $i > $o ).
tff(decl_25,type,
cOMBB_307249310e_bool: ( $i * $i ) > $i ).
tff(decl_26,type,
is_bool: $i > $o ).
tff(decl_27,type,
cOMBK_bool_pname: $i > $i ).
tff(decl_28,type,
cOMBK_1857069011e_bool: $i > $i ).
tff(decl_29,type,
cOMBS_568398431l_bool: ( $i * $i ) > $i ).
tff(decl_30,type,
cOMBS_350070575l_bool: ( $i * $i ) > $i ).
tff(decl_31,type,
wt: $i > $i ).
tff(decl_32,type,
wT_bodies: $i ).
tff(decl_33,type,
finite_finite_pname: $i ).
tff(decl_34,type,
pname: $i ).
tff(decl_35,type,
undefined_pname: $i > $i ).
tff(decl_36,type,
is_pname: $i > $o ).
tff(decl_37,type,
bool: $i ).
tff(decl_38,type,
fun: ( $i * $i ) > $i ).
tff(decl_39,type,
undefi17486888e_bool: $i > $i ).
tff(decl_40,type,
undefi64961550l_bool: $i > $i ).
tff(decl_41,type,
hoare_165779456gleton: $i ).
tff(decl_42,type,
dom_pname_com: $i > $i ).
tff(decl_43,type,
dom_fu2081503504ol_com: $i > $i ).
tff(decl_44,type,
bot_bo844097828e_bool: $i ).
tff(decl_45,type,
bot_bo1649642514l_bool: $i ).
tff(decl_46,type,
collect_pname: $i > $i ).
tff(decl_47,type,
collec1974731493e_bool: $i > $i ).
tff(decl_48,type,
image_pname_pname: ( $i * $i ) > $i ).
tff(decl_49,type,
image_47868345e_bool: ( $i * $i ) > $i ).
tff(decl_50,type,
image_54689091_pname: ( $i * $i ) > $i ).
tff(decl_51,type,
image_2131964411e_bool: ( $i * $i ) > $i ).
tff(decl_52,type,
image_1283814551_pname: ( $i * $i ) > $i ).
tff(decl_53,type,
image_187965177_pname: ( $i * $i ) > $i ).
tff(decl_54,type,
image_1705983821_pname: ( $i * $i ) > $i ).
tff(decl_55,type,
image_1619336331_pname: ( $i * $i ) > $i ).
tff(decl_56,type,
insert_pname: ( $i * $i ) > $i ).
tff(decl_57,type,
insert1325755072e_bool: ( $i * $i ) > $i ).
tff(decl_58,type,
fFalse: $i ).
tff(decl_59,type,
fTrue: $i ).
tff(decl_60,type,
hAPP_pname_pname: ( $i * $i ) > $i ).
tff(decl_61,type,
hAPP_pname_bool: ( $i * $i ) > $i ).
tff(decl_62,type,
hAPP_p61793385e_bool: ( $i * $i ) > $i ).
tff(decl_63,type,
hAPP_p338031245l_bool: ( $i * $i ) > $i ).
tff(decl_64,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(decl_65,type,
hAPP_H1621176307_pname: ( $i * $i ) > $i ).
tff(decl_66,type,
hAPP_H78829294e_bool: ( $i * $i ) > $i ).
tff(decl_67,type,
hAPP_H356885323e_bool: ( $i * $i ) > $i ).
tff(decl_68,type,
hAPP_f1297739591_pname: ( $i * $i ) > $i ).
tff(decl_69,type,
hAPP_f1664156314l_bool: ( $i * $i ) > $i ).
tff(decl_70,type,
hAPP_f759274231e_bool: ( $i * $i ) > $i ).
tff(decl_71,type,
hAPP_f434788991l_bool: ( $i * $i ) > $i ).
tff(decl_72,type,
hAPP_f560369737_pname: ( $i * $i ) > $i ).
tff(decl_73,type,
hAPP_f971112728l_bool: ( $i * $i ) > $i ).
tff(decl_74,type,
hAPP_f1935102916l_bool: ( $i * $i ) > $i ).
tff(decl_75,type,
hAPP_f559147733l_bool: ( $i * $i ) > $i ).
tff(decl_76,type,
hAPP_f166538662l_bool: ( $i * $i ) > $i ).
tff(decl_77,type,
hAPP_f389811538l_bool: ( $i * $i ) > $i ).
tff(decl_78,type,
hAPP_f468958928l_bool: ( $i * $i ) > $i ).
tff(decl_79,type,
hAPP_f595608956l_bool: ( $i * $i ) > $i ).
tff(decl_80,type,
hAPP_f1022807134l_bool: ( $i * $i ) > $i ).
tff(decl_81,type,
pn: $i ).
tff(decl_82,type,
hoare_1598289066_state: $i > $i ).
tff(decl_83,type,
bot_bo620288102e_bool: $i ).
tff(decl_84,type,
hBOOL: $i > $o ).
tff(decl_85,type,
ord_le1285840794e_bool: $i ).
tff(decl_86,type,
hAPP_f72706945l_bool: ( $i * $i ) > $i ).
tff(decl_87,type,
insert1415133716_state: ( $i * $i ) > $i ).
tff(decl_88,type,
hoare_Mirabelle_MGT: $i ).
tff(decl_89,type,
body_1: $i ).
tff(decl_90,type,
hAPP_pname_com: ( $i * $i ) > $i ).
tff(decl_91,type,
hAPP_c1126217667_state: ( $i * $i ) > $i ).
tff(decl_92,type,
the_com: $i ).
tff(decl_93,type,
body: $i ).
tff(decl_94,type,
hAPP_p799580910on_com: ( $i * $i ) > $i ).
tff(decl_95,type,
hAPP_option_com_com: ( $i * $i ) > $i ).
tff(decl_96,type,
finite595471783e_bool: $i ).
tff(decl_97,type,
ord_le313189616e_bool: $i ).
tff(decl_98,type,
cOMBC_1284144636l_bool: $i > $i ).
tff(decl_99,type,
finite364844667_state: $i ).
tff(decl_100,type,
finite464017571e_bool: $i ).
tff(decl_101,type,
cOMBC_449066458l_bool: $i > $i ).
tff(decl_102,type,
collec1823980261e_bool: $i > $i ).
tff(decl_103,type,
finite786885583l_bool: $i ).
tff(decl_104,type,
finite1491191519l_bool: $i ).
tff(decl_105,type,
ord_le1375671464l_bool: $i ).
tff(decl_106,type,
cOMBC_336095980l_bool: $i > $i ).
tff(decl_107,type,
hAPP_f1759205631l_bool: ( $i * $i ) > $i ).
tff(decl_108,type,
collec792590109l_bool: $i > $i ).
tff(decl_109,type,
finite796539827l_bool: $i ).
tff(decl_110,type,
finite34021339l_bool: $i ).
tff(decl_111,type,
ord_le889598034l_bool: $i ).
tff(decl_112,type,
cOMBC_747715418l_bool: $i > $i ).
tff(decl_113,type,
hAPP_f667366769l_bool: ( $i * $i ) > $i ).
tff(decl_114,type,
collec256567069l_bool: $i > $i ).
tff(decl_115,type,
ord_le287025148l_bool: $i ).
tff(decl_116,type,
cOMBC_1691491604l_bool: $i > $i ).
tff(decl_117,type,
hAPP_f585161855l_bool: ( $i * $i ) > $i ).
tff(decl_118,type,
collec488126193l_bool: $i > $i ).
tff(decl_119,type,
ord_le675606854l_bool: $i ).
tff(decl_120,type,
cOMBC_7971162l_bool: $i > $i ).
tff(decl_121,type,
hAPP_f510955609l_bool: ( $i * $i ) > $i ).
tff(decl_122,type,
collec1613912337l_bool: $i > $i ).
tff(decl_123,type,
image_2003357581_state: ( $i * $i ) > $i ).
tff(decl_124,type,
image_677922117_state: ( $i * $i ) > $i ).
tff(decl_125,type,
image_892968839_state: ( $i * $i ) > $i ).
tff(decl_126,type,
image_18964633_state: ( $i * $i ) > $i ).
tff(decl_127,type,
image_516545147_state: ( $i * $i ) > $i ).
tff(decl_128,type,
image_1642285373l_bool: ( $i * $i ) > $i ).
tff(decl_129,type,
image_288317893l_bool: ( $i * $i ) > $i ).
tff(decl_130,type,
image_70449425e_bool: ( $i * $i ) > $i ).
tff(decl_131,type,
image_1210605179l_bool: ( $i * $i ) > $i ).
tff(decl_132,type,
image_1761575943l_bool: ( $i * $i ) > $i ).
tff(decl_133,type,
image_1828608335e_bool: ( $i * $i ) > $i ).
tff(decl_134,type,
bot_bo535777328l_bool: $i ).
tff(decl_135,type,
insert1117693814l_bool: ( $i * $i ) > $i ).
tff(decl_136,type,
insert203537868l_bool: ( $i * $i ) > $i ).
tff(decl_137,type,
insert1556680138e_bool: ( $i * $i ) > $i ).
tff(decl_138,type,
bot_bo1537088220l_bool: $i ).
tff(decl_139,type,
bot_bo1761158942l_bool: $i ).
tff(decl_140,type,
fconj: $i ).
tff(decl_141,type,
cOMBB_675860798_pname: ( $i * $i ) > $i ).
tff(decl_142,type,
collec307967673_state: $i > $i ).
tff(decl_143,type,
cOMBB_962198420_state: ( $i * $i ) > $i ).
tff(decl_144,type,
cOMBS_458705923l_bool: ( $i * $i ) > $i ).
tff(decl_145,type,
cOMBB_689948150l_bool: ( $i * $i ) > $i ).
tff(decl_146,type,
cOMBS_811933079l_bool: ( $i * $i ) > $i ).
tff(decl_147,type,
cOMBB_404111180l_bool: ( $i * $i ) > $i ).
tff(decl_148,type,
cOMBS_1358309691l_bool: ( $i * $i ) > $i ).
tff(decl_149,type,
cOMBB_1585081418e_bool: ( $i * $i ) > $i ).
tff(decl_150,type,
cOMBS_2066081387l_bool: ( $i * $i ) > $i ).
tff(decl_151,type,
cOMBB_2095475776e_bool: ( $i * $i ) > $i ).
tff(decl_152,type,
cOMBK_367030522_pname: $i > $i ).
tff(decl_153,type,
cOMBK_168215364_state: $i > $i ).
tff(decl_154,type,
cOMBK_2035509764_state: $i > $i ).
tff(decl_155,type,
cOMBK_1039769424_state: $i > $i ).
tff(decl_156,type,
cOMBK_37193422_pname: $i > $i ).
tff(decl_157,type,
cOMBK_1706929794_pname: $i > $i ).
tff(decl_158,type,
cOMBK_pname_pname: $i > $i ).
tff(decl_159,type,
cOMBK_1503445380e_bool: $i > $i ).
tff(decl_160,type,
cOMBK_701929478e_bool: $i > $i ).
tff(decl_161,type,
cOMBK_948730864e_bool: $i > $i ).
tff(decl_162,type,
cOMBK_1589414042e_bool: $i > $i ).
tff(decl_163,type,
member_pname: $i ).
tff(decl_164,type,
member1338687867_state: $i ).
tff(decl_165,type,
hAPP_H30606679l_bool: ( $i * $i ) > $i ).
tff(decl_166,type,
member799430823e_bool: $i ).
tff(decl_167,type,
hAPP_f556039215l_bool: ( $i * $i ) > $i ).
tff(decl_168,type,
member2114907555e_bool: $i ).
tff(decl_169,type,
hAPP_f210337421l_bool: ( $i * $i ) > $i ).
tff(decl_170,type,
some_com: $i > $i ).
tff(decl_171,type,
hAPP_f2138803836on_com: ( $i * $i ) > $i ).
tff(decl_172,type,
hAPP_f2134636538on_com: ( $i * $i ) > $i ).
tff(decl_173,type,
dom_fu1342267980ol_com: $i > $i ).
tff(decl_174,type,
hAPP_H1049623551e_bool: ( $i * $i ) > $i ).
tff(decl_175,type,
hAPP_p442853985e_bool: ( $i * $i ) > $i ).
tff(decl_176,type,
hAPP_f888949707_state: ( $i * $i ) > $i ).
tff(decl_177,type,
hAPP_f1387463497_state: ( $i * $i ) > $i ).
tff(decl_178,type,
hAPP_p1422361149_state: ( $i * $i ) > $i ).
tff(decl_179,type,
cOMBK_482404831l_bool: $i > $i ).
tff(decl_180,type,
cOMBK_129401207e_bool: $i > $i ).
tff(decl_181,type,
cOMBK_659609255_state: $i > $i ).
tff(decl_182,type,
fimplies: $i ).
tff(decl_183,type,
fNot: $i ).
tff(decl_184,type,
fequal_pname: $i ).
tff(decl_185,type,
cOMBC_1149511130e_bool: $i > $i ).
tff(decl_186,type,
fequal1111551311_state: $i ).
tff(decl_187,type,
cOMBC_654211620e_bool: $i > $i ).
tff(decl_188,type,
cOMBB_2144135922_state: ( $i * $i ) > $i ).
tff(decl_189,type,
fequal533582459e_bool: $i ).
tff(decl_190,type,
fequal1311889615e_bool: $i ).
tff(decl_191,type,
cOMBB_1522210668e_bool: ( $i * $i ) > $i ).
tff(decl_192,type,
fdisj: $i ).
tff(decl_193,type,
cOMBC_1058051404l_bool: $i > $i ).
tff(decl_194,type,
cOMBC_1734175330l_bool: $i > $i ).
tff(decl_195,type,
hAPP_f98417237e_bool: ( $i * $i ) > $i ).
tff(decl_196,type,
cOMBC_1988546018l_bool: $i > $i ).
tff(decl_197,type,
cOMBC_1114453604l_bool: $i > $i ).
tff(decl_198,type,
hAPP_f1201187855l_bool: ( $i * $i ) > $i ).
tff(decl_199,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(decl_200,type,
hAPP_p393069232l_bool: ( $i * $i ) > $i ).
tff(decl_201,type,
cOMBB_923936821_pname: ( $i * $i ) > $i ).
tff(decl_202,type,
hAPP_f1476298914l_bool: ( $i * $i ) > $i ).
tff(decl_203,type,
cOMBB_699532858_pname: ( $i * $i ) > $i ).
tff(decl_204,type,
hAPP_H1187982158l_bool: ( $i * $i ) > $i ).
tff(decl_205,type,
hAPP_f32027384l_bool: ( $i * $i ) > $i ).
tff(decl_206,type,
hAPP_f637090980l_bool: ( $i * $i ) > $i ).
tff(decl_207,type,
hAPP_f2143399574l_bool: ( $i * $i ) > $i ).
tff(decl_208,type,
fa: $i ).
tff(decl_209,type,
y: $i ).
tff(decl_210,type,
esk1_1: $i > $i ).
tff(decl_211,type,
esk2_1: $i > $i ).
tff(decl_212,type,
esk3_1: $i > $i ).
tff(decl_213,type,
esk4_1: $i > $i ).
tff(decl_214,type,
esk5_1: $i > $i ).
tff(decl_215,type,
esk6_1: $i > $i ).
tff(decl_216,type,
esk7_1: $i > $i ).
tff(decl_217,type,
esk8_1: $i > $i ).
tff(decl_218,type,
esk9_1: $i > $i ).
tff(decl_219,type,
esk10_1: $i > $i ).
tff(decl_220,type,
esk11_1: $i > $i ).
tff(decl_221,type,
esk12_1: $i > $i ).
tff(decl_222,type,
esk13_1: $i > $i ).
tff(decl_223,type,
esk14_1: $i > $i ).
tff(decl_224,type,
esk15_1: $i > $i ).
tff(decl_225,type,
esk16_1: $i > $i ).
tff(decl_226,type,
esk17_1: $i > $i ).
tff(decl_227,type,
esk18_1: $i > $i ).
tff(decl_228,type,
esk19_1: $i > $i ).
tff(decl_229,type,
esk20_1: $i > $i ).
tff(decl_230,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_231,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_232,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_233,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_234,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_235,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_236,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_237,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_238,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_239,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_240,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_241,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_242,type,
esk33_1: $i > $i ).
tff(decl_243,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_244,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_245,type,
esk36_3: ( $i * $i * $i ) > $i ).
fof(fact_187_insert__compr,axiom,
! [X12,X19] : insert1415133716_state(X12,X19) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_insert__compr) ).
fof(fact_255_Collect__def,axiom,
! [X14] : collec307967673_state(X14) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_Collect__def) ).
fof(help_fFalse_1_1_T,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004,hypothesis,
! [X1,X2] : is_bool(hAPP_f971112728l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004) ).
fof(fact_280_singleton__conv,axiom,
! [X12] : collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)) = insert1415133716_state(X12,bot_bo620288102e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_singleton__conv) ).
fof(fact_284_singleton__conv2,axiom,
! [X12] : collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X12)) = insert1415133716_state(X12,bot_bo620288102e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_singleton__conv2) ).
fof(fact_103_MGF,axiom,
! [X15] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X15))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X6))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(fact_44_finite_OemptyI,axiom,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_finite_OemptyI) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_0,hypothesis,
hBOOL(hoare_165779456gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_288_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = some_com(X30)
=> hBOOL(wt(X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(c_0_16,plain,
! [X569,X570] : insert1415133716_state(X569,X570) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X569)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X570))),
inference(variable_rename,[status(thm)],[fact_187_insert__compr]) ).
fof(c_0_17,plain,
! [X722] : collec307967673_state(X722) = X722,
inference(variable_rename,[status(thm)],[fact_255_Collect__def]) ).
fof(c_0_18,plain,
! [X848] :
( ~ is_bool(X848)
| X848 = fTrue
| X848 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])]) ).
fof(c_0_19,hypothesis,
! [X103,X104] : is_bool(hAPP_f971112728l_bool(X103,X104)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004]) ).
fof(c_0_20,plain,
! [X784] : collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X784)) = insert1415133716_state(X784,bot_bo620288102e_bool),
inference(variable_rename,[status(thm)],[fact_280_singleton__conv]) ).
cnf(c_0_21,plain,
insert1415133716_state(X1,X2) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
collec307967673_state(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X788] : collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X788)) = insert1415133716_state(X788,bot_bo620288102e_bool),
inference(variable_rename,[status(thm)],[fact_284_singleton__conv2]) ).
cnf(c_0_24,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,hypothesis,
is_bool(hAPP_f971112728l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_26,plain,
! [X340] :
( ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X340))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X340),bot_bo620288102e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_MGF])]) ).
cnf(c_0_27,plain,
collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
insert1415133716_state(X1,X2) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X128,X129,X130] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X129),X130))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X128),X129))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X128),X130)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
fof(c_0_31,plain,
! [X119] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X119),bot_bo620288102e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
cnf(c_0_32,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[fact_44_finite_OemptyI]) ).
cnf(c_0_33,hypothesis,
( hAPP_f971112728l_bool(X1,X2) = fTrue
| hAPP_f971112728l_bool(X1,X2) = fFalse ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_34,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(c_0_35,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_22]),c_0_28]) ).
cnf(c_0_37,plain,
hAPP_H1049623551e_bool(fequal1111551311_state,X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_22]),c_0_28]) ).
fof(c_0_38,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
cnf(c_0_39,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,hypothesis,
( hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool) = fFalse
| hBOOL(fTrue) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_44,plain,
hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1) = hAPP_H1049623551e_bool(fequal1111551311_state,X1),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_46,hypothesis,
hBOOL(hoare_165779456gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_47,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X2)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,hypothesis,
hBOOL(fTrue),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_41]),c_0_42]) ).
fof(c_0_50,plain,
! [X794,X795] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X794) != some_com(X795)
| hBOOL(wt(X795)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_WT__bodiesD])]) ).
cnf(c_0_51,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(wt(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_52,plain,
cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) = hAPP_H1049623551e_bool(fequal1111551311_state,X1),
inference(rw,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_53,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))),
inference(rw,[status(thm)],[c_0_47,c_0_28]) ).
cnf(c_0_54,hypothesis,
( hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X1) = fFalse
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_49])]) ).
cnf(c_0_55,plain,
( hBOOL(wt(X2))
| ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X1) != some_com(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))))
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))) = fFalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_44]),c_0_52]) ).
cnf(c_0_58,plain,
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_45])]) ).
cnf(c_0_59,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
cnf(c_0_60,negated_conjecture,
~ hBOOL(wt(y)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_42]) ).
cnf(c_0_61,hypothesis,
( hBOOL(wt(X1))
| some_com(y) != some_com(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,hypothesis,
$false,
inference(spm,[status(thm)],[c_0_60,c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 22:35:10 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.52/0.71 % Version : CSE_E---1.5
% 0.52/0.71 % Problem : theBenchmark.p
% 0.52/0.71 % Proof found
% 0.52/0.71 % SZS status Theorem for theBenchmark.p
% 0.52/0.71 % SZS output start Proof
% See solution above
% 0.52/0.73 % Total time : 0.129000 s
% 0.52/0.73 % SZS output end Proof
% 0.52/0.73 % Total time : 0.144000 s
%------------------------------------------------------------------------------